Bard-1wizard or Bard-2fighter?

I read alot about Bard-2fighter to gain the extra action for one turn per rest.

But shouldnt bard-1wizard be better because you can caste haste which grants an bonus action for 10turns (if you dont get hit for sure)? Wizard also gets mirror image and some reactive spells which sounds cool too.

Fighter seems to "only" get this single use extra action and also +2 bonus on archery for sure.