Wiktionary gives me these pieces of information:
[money] [1]
From Middle English moneie, moneye, from Old French moneie (“money”), from Latin monēta, from the name of the temple of Juno Moneta in Rome, where a mint was.
Displaced native Middle English schat (“money, treasure”) (from Old English sceatt (“money, treasure, coin”)), Middle English feoh (“money, property”) (from Old English feoh (“money, property, cattle”)).
[mint-2] [3]
From Middle English mynt, münet (“money, coin”), from Old English mynet (“coin, money”), from Proto-Germanic *munitan, *munitō (“coin”), from Latin monēta (“place for making coins, coined money”), from the temple of Juno Moneta (named for Monēta mother of the Muses), where coins were made; akin to Dutch munt (“currency, coin, mint”), German Münze (“coin, coinage, mint”), Danish mønt (“coin”), and to Russian монета (“coin”).
[mint-1] [2]
From Middle English minten, from Old English myntan (“to mean, intend, purpose, determine, resolve”), from Proto-Germanic *muntanan, *muntijanan (“to think, consider”), from Proto-Indo-European *men-, *mnā- (“to think”).
Cognate with Eastern Frisian mintsje, muntsje (“to aim, target”), Dutch munten (“to aim at, target”), Dutch monter (“cheerful, gladsome, spry”), Gothic 𐌼𐌿𐌽𐍃 (muns, “thought, opinion”), Old English munan (“to be mindful of, consider, intend”). More at mind.
[mind] [4]
From Middle English minde, from Old English ġemynd (“memory, remembrance, memorial, thought”), from Proto-Germanic *gamundiz, *mundiz (“memory, remembrance”), from Proto-Indo-European *men- (“to think”).
Cognate with Gothic 𐌼𐌿𐌽𐌳𐍃 (munds, “memory, mind”), Old English myntan (“to mean, intend, purpose, determine, resolve”), Latin mens,mentis (“mind, reason”), Albanian mënd (“mind, reason”). More at mint.
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There are two etymologies, mint-2 and mint-1 provided for mint, referring respectively to two meanings: "a coin/place making coins" and "intent to do".
(Q1)So are mint-1 (intent to do) and mint-2 (a coin) cognates or not?
If they are not cognates, given that money is cognate with mint-2 (a coin) while mind is cognate with mint-1,
(Q2)can we draw the conclusion that money and mind are not cognates?