This wasn't in the first online dictionary I looked in, so here's an answer.
boot ... [2] [verb] (1) booted; booting; boots
[archaic]: avail, profit
[Merriam-Webster]
The sense is very rare nowadays, except in stylised historical fiction, poetry etc where 'What boots it?' ('What does that matter?' / 'What's the point?') may be encountered.
It is used by Milton in Lycidas [BBC Poetry] (beware the misplaced PP):
... Alas! what boots it with uncessant care
To tend the homely slighted shepherd's trade,
........................
'will avail you none' (for which there are a handful of hits in a Google search) shows the 'none' = 'nothing' archaism
:
none [1 of 4] [pronoun]
singular or plural in construction ...4: no part : NOTHING
[Merriam-Webster]
[Actually, 'avail you not' is almost as common as 'avail you nothing', so one could argue for the adverb intercategorial polyseme of 'none' (= 'not at all') here.]