Asked to take first strike, opener Conway continued his purple patch with a 35-ball 52, while Mitchell smashed a 30-ball unbeaten 59, which included a last-over thrashing of Arshdeep Singh for 27 runs, to power the Black Caps to a challenging 176 for six.
The Kiwi bowlers, led by Mitchell Santner (2/11) and Michael Bracewell (2/31), then spun a web around the home batters, restrict India to 155 for 9 in 20 overs.
India had a disastrous start to their chase with both Ishan Kishan (4) and Rahul Tripathi (0) sent back to the pavillion by the third over.
While Ishan was bamboozled by Bracewell, pacer Jacob Duffy (1/27) induced a fine edge off Rahul's blade. Shubman Gill (7) too perished soon after being deceived by Santner as India slumped to 15 for three.
Suryakumar Yadav (47), however, looked in good touch as he picked up two boundaries before picking one off his hips for a six off Lockie Ferguson (1/22).
Santner then bowled a maiden as India reached 33 for three in the powerplay overs.
With the pitch offering grip and turn, New Zealand spinners controlled the proceedings keeping it flat and mixing the length even as Hardik unleashed a drive over extra cover to ease the pressure.
Suryakumar too brought out his range of sweep shots to keep the scoreboard ticking. When Blair Tickner was introduced, he played a square cut and then sent another one through backward point for successive fours as India reached 74 for 3 in 10 overs.
Leg-spinner Ish Sodhi was then sent inside out over extra cover for a maximum but New Zealand struck twice in next five balls to remove both the set batters.
While Surya chipped one off Sodhi to Finn Allen at long on, Hardik was caught and bowled by Bracewell as it all went downhill after that with India slipping to 85 for five.
Deepak Hooda smacked one over the rope before being stumped. Santner then ran out Shivam Mavi. Ferguson bowled a wicket maiden, removing Kuldeep.
Washington Sundar smashed a fighting 28-ball 50 but it was too late.
Earlier, Indian bowlers struggled to get their line and length, allowing New Zealand to get off to a good start.
Allen (35) smashed Hardik for successive boundaries, while a juicy half volley from Arshdeep was hit straight to the boundary.
Conway, who had scored 138 in the third ODI in Indore, also punished the left-arm pacer for a widish ball as New Zealand put up 23 in two overs.
Sundar, however, got a lot of purchase from the wicket and soon saw the back of Allen and Mark Chapman (0) in the space of five deliveries to reduce New Zealand to 43 for 2.
Conway, however, kept it going with two fours and a six off Umran Malik, who bled 16 runs in his only over.
Hardik brought himself back and tried to mix his bowling, using more cutters and slower deliveries as New Zealand reached 79 for 2 in 10 overs.
Conway used the slog sweep and his feet to pick up boundaries off Kuldeep and Hooda as New Zealand crossed the 100-mark in the 13th over.
Kuldeep then struck with a googly as Glenn Phillips went for a slog, only to be holed out by Surya at deep midwicket.
Daryl Mitchell then joined Conway and, after surviving two video referrals for a caught behind and an LBW, blasted Hardik for two maximums.
Conway, on the other hand, completed his fifty in the 16th over but was sent packing soon by Arshdeep with Hooda taking the catch at long-off.
Ishan Kishan then ran out new man Bracewell (1) and Shivam Mavi had Santner (7) caught by Rahul Tripathi as India seemed to have pulled things back.
However, Arshdeep conceded 27 runs in the last over, with Mitchell clobbering him for three sixes and a four.
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New Delhi (PTI): Rajasthan Royals captain Riyan Parag is set to be fined 25 per cent of his match fee for bringing the game into "disrepute" after being caught vaping on camera during the IPL game against Punjab Kings in Mullanpur.
Parag's actions during the Royals' chase on Tuesday night drew condemnation on social media.
PTI has learned that on field umpires Tanmay Srivastava and Nitin Menon had not reported the matter to match referee Amit Sharma right after the game. They only did that after seeing visual proof and Sharma found Parag guilty for a code of conduct breach as per the IPL guidelines.
The Level 1 offences carries 25 per cent deduction from match fees and one demerit point.
"He is set to be fined a portion of his match fees and a demerit point for a Level 1 offence," said an IPL source.
The Indian government had banned e-cigarettes back in 2019, prohibiting their production, sale and distribution. As per the law, the offender faces imprisonment up to one year and/or a Rs one lakh fine for a first time offence.
"Article 2.21 of IPL Code of Conduct is intended to cover all types of conduct that bring the game into disrepute and which is not specifically and adequately covered by the specific offences set out elsewhere in this Code of Conduct, including Article 2.20," the IPL Code of Conduct states.
"By way of example, Article 2.21 may (depending upon the seriousness and context of the breach) prohibit, without limitation, the following: (a) public acts of misconduct; (b) unruly public behaviour; and (c) inappropriate comments which are detrimental to the interests of the game.
"When assessing the seriousness of the offence, the context of the particular situation, and whether it was deliberate, reckless, negligent, avoidable and/or accidental, shall be considered.
"Further, the person lodging the Report shall determine where on the range of severity the conduct lays (with the range of severity starting at conduct of a minor nature (and hence a Level 1 Offence) up to conduct of an extremely serious nature (and hence a Level 4 Offence)."
Since it is a Level 1 offence there was no need for a hearing.
Parag, who has not had the best of times with the bat this IPL, was seen inhaling an e-cigarette, also known as vaping, in the dressing room during the live broadcast of their game against Punjab Kings. Royals won the game to end Kings' unbeaten run in the tournament.
This is not the first controversy to hit the Royals this season. Earlier this month, team manager Romi Bhinder was fined Rs one lakh for breaching PMOA protocol after being found using his phone in the dugout.
IPL and BCCI officials involved in the conduct of the IPL termed it as a careless act in the age of social media and prying TV cameras.
Royals next host Delhi Capitals at home on Friday night.
