Since the volume is so small, I wonder if a big syringe hooked to the bleeder wouldn't pull the fluid from the master cylinder. Just stop and add to avoid making it a hassle.
A problem I've had when using a vacuum source is air going around the bleeder. Might have to pull it out and put Teflon tape on it. Just keep it above the bottom threads and unwrap it when you're done. That may not be necessary. IDK. I'm not sure how I feel about Teflon tape bits in the caliper.
When someone lets the fluid drop so low it loses prime I wonder if that wouldn't be an easy way to get it going. Large syringes are available at the feed stores around here.
It's a good way to get rid of the fluid in the MC,instead of having to move it out through bleeding.

That fluid was pretty nasty lookin.

I just used the organic EBC pads for the first time. These things are absolute junk. They wore down to literally nothing in less than two months. I couldn't believe it.

I switched over to the fully sintered ones. Immediately better.

Since I wasn’t happy with the results of simply bleeding the brakes, I installed some new Niche semi-metallic pads this morning.  Did some clean up of the caliper, piston, and rotor while I was down there already getting dirty.

Well, much better and that’s before they are even fully “bedded in”.  How much is attributable to the new Niche pads vs. clean-up is unknown.

Here are the EBC pads I removed.  Plenty of meat left on the bone, but they just don’t work very good.  These are supposedly the upgraded EBC “semi-sintered” pads (FA106V).  Not impressed - copper plates and it appears there is some copper in the pads themselves.  Online photos show them being more grayish black with no copper color.  I still haven’t met EBC pads that I like.

The EBC F106 are organic and well suited to the Savage.

The EBC F106V are semi sintered and have copper in them - they don't work very well on the Savage....they just don't have good grip.

The EBC F106R are sintered and work crappy on the Savage.  The pads are just too hard to make good friction.

I don't believe the Savage works as well with semi sintered or fully sintered pads as well as the organic pads.

I have no idea how you wear out a set of pads in 2 months.  I get years of riding out of brake pads....20,000 miles is not unusual.  Maybe city riding is harder on pads than riding country roads.

T/P  stock brake is a pos on its best day. Resurfacing rotor , new pads and fresh fluid and even a s/s braided hose all help a tiny bit each. But it’s still a pos , adding all that to it is like hanging a new chandelier in a haunted house. It’s still a haunted house ! Save your money and just get a big brake kit from Shawn. His kit solves the problem. Just trying to lead you to water !