Out of the 2 options you initially mentioned, I’d pick [name_m]August[/name_m] (due to the same reasons others have mentioned, i.e. the “Am-” beginning of [name_m]Ambrose[/name_m] & Amias).
However, I think it would be ideal to bring another letter into the mix, and give the new baby his own initial. I really love several of the other options you added in your longer list! Here are my faves:
I love [name_m]August[/name_m] as it goes well with your other names but still stands out. Whereas [name_m]Amias[/name_m] sounds a bit close to [name_m]Ambrose[/name_m] for me.
Some other names you might like are:
[name_m]Cassian[/name_m]
[name_m]Willem[/name_m]
[name_m]Ruston[/name_m]
[name_m]Jude[/name_m]
[name_m]Magnus[/name_m]
[name_m]Hugo[/name_m]
[name_m]Lucian[/name_m]
[name_m]Matthias[/name_m]
[name_m]Bennett[/name_m]
[name_m]Flynn[/name_m]
[name_m]Silas[/name_m]
[name_m]Ronan[/name_m]
[name_m]Solomon[/name_m]
[name_m]Anthony[/name_m]
[name_m]Ellis[/name_m]
[name_m]Miles[/name_m]