Will the beta patch be updated automatically in steam when final patch is released?

[BMCha]

I think the question being asked is whether Steam will update a manually-installed beta patch to the official patch on its release.

As far as I know, assuming you have Steam set to update the game it will work, as it replaces changed files as needed, which works from any version, unlike traditional patches that have to be applied in order.

As for any cache issues you'd have to ask others.