I'll mention that once you're filtering, you might as well pre-wet and rinse through the filter too. That makes the loss a lot smaller and the volume more accurate even for the 13mm. Heck, I rinse my recon vial, if I'm reconning more than 1ml, just to make sure I get it all!
Start just like the video, with ~20-30U BAC and put a sterile needle on the filter.
Push until it spurts 💦 and go to an even set of units. Insert into cart to push rest.
Disconnect the syringe from the filter (leaving the needle in) cuz yer filtering!
Put a vent on the pressurized cart (it could have some BAC in it too) to equalize.
Some people put a filter on there too, but if it's positive pressure I don't see why.
Pull your reconned pep from the vial and filter with 100U low dead vol syringe.
You'll need a luerlock syringe, but I prefer small ones to the 3mm biggies 🍆.
Get another 20-30U of BAC (whatever you need to get the right final recon vol), and use that to flush the filter. You could use the same to rinse the recon vial.
I'd recommend a longer needle to filter in with the cart vertical, and a short barely penetrating needle to vent (I've even been known to use a 29G pen needle👀 to vent air). That keeps you from blowing bubbles out the top (or the plunger out the back! Heck, I recommend a longer needle to pull the recon too so you can get to the bottom and don't have to fiddle with the stopper.
I've got so many unused 100U insulin syringes, I recon and rinse with a few of those since they're accurate to ~ unit. If the vial has vacuum, you don't have to vent it first. Then finish venting it once it's got at least 1ml and is fully dissolved with the long (~1.5" 25G) barely in the vial so it doesn't blow bubbles, and use that to pull for filtering when pushed all the way to bottom. It helps to spin the vial and rotate the needle so the tip opening is at the bottom.
YMMV!