Sizing pipe for a new hose bib

O' Great Plumbing Sages:

I'm about to install a new hose bib so that I don't have to drag a 75' hose around the yard anymore. The location for the new hose bib is about 25' from the nearest 3/4" cold water branch. This existing branch serves the kitchen sink, a bar sink, and an existing backyard hose bib.

Which one of the following is the best approach?:

a) Insert a 3/4" Tee in this branch and run 3/4" pipe to within a few feet of the hosebib and then reduce to 1/2" pipe to serve the hose bib.

b) Insert a 3/4" Tee in this branch and run 1/2" pipe to the new hose bib.

Or, should I avoid this branch completely and run 3/4" pipe to a location closer to the meter entrance (which is about 40' from the new hose bib location)?

Thanks!

The hosebib is considered 2.5 fixture units. 1/2" would be fine for it.

I have also run them with 3/4", but it was mainly to slow the water through the pipe. Less speed, less noise.
I notice that the last one I installed in my home, which was run with 1/2" PEX, is very quiet.
The previous ones that are run with copper 1/2" make more noise.
All three are washerless Legend frostfree hosebibs.