Is Mew required to complete the Pokedex?

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This question is based on three assumptions (which I assume to be true - please correct me if I'm wrong):
- You can only obtain Mew by purchasing a Pokeball Plus, which contains exactly one Mew
- You can't breed Pokemon in the Let's Go games
- You can't transfer any Pokemon that didn't already come from another Let's Go game to a Let's Go game through Pokemon Home
Considering all of that, it seems to me that the number of Mews in Let's Go world-wide is finite. So if you only pick up the game now and are missing the Pokeball Plus, are you unable to complete the Pokedex unless you happen to meet someone by chance who is willing to trade you their Mew?
TL;DR: Is Mew required to complete the Pokedex in Let's Go Pikachu/Eevee?
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Do you need Mew to complete the Pokédex sword and shield?
Mew is not needed for completion.. This all Pokedex with OR/AS can be completed without the Mythical Pokemon due to the limited nature. And the only reason why OR/AS needs one is because Deoxys is in the game.Why is Mew not in the Pokédex?
Mew was considered extinct when the Pokedex was made. But as Mewtwo was alive and known, he was placed first. Later, Mew's resurrection of his species in Emerald by a scientist meant they could now get his info for the Pokedex.Is Mew in the Pokédex?
Mew's number in the National Pok\xe9dex is 151, the last of the first-generation Pok\xe9mon, with 150 being Mewtwo and 152 being Chikorita.Is Mew needed for shiny charm?
There are a total of 153 Pokemon that can be recorded in this Pokemon Yellow remake but only the original 150 count towards a completed Pokedex. This means if you have caught every creature form Bulbasaur to Mewtwo \u2013 excluding Mew, Meltan and Melmetal \u2013 you can claim your Shiny Charm.(Part 2) What Happens When You COMPLETE The Pokedex in Every Pokemon Game?
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Images: Ketut Subiyanto, Max Vakhtbovych, Ketut Subiyanto, Ketut Subiyanto