plumbing - Connecting push fit to a 3/8in supply faucet line: NPTF

I have a dedicated water filter faucet with a 3/8 female 'compression' supply line (parallel threads). I am interested in connecting a push-fit based filter system to this faucet, but I'm not sure

Supply Line Adapter - 3/8 PCA Compression Fitting - 1.0 gpm

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Name:1/4 outlet feed water adapter Style:3/8 OD female compression inlet x 3/8 OD male compression outlet x 1/4 OD push in quick connect fitting

HAOCHEN Feed Water Adapter - Water Line Splitter 3/8x3/8x1/4 or G 1/2xG 1/2x1/4, Brass Water Supply Valve with 1/4 Push in Quick Connect

plumbing - What type of adaptor do I need to connect a female 3/8