Won't be a problem. I have plenty of multi-color PTFE covered wire wrap style wires where the conductors are 0.32mm diameter = 0.0126" = 28 AWG. Can't recall where I got them (might have been Japan), but they must be a standard product line and I have seen thinner ones in stores too.
There seems to be a lot on ebay, much of it comes from China it seems, some in the USA, but you ideally need solid core not stranded. Click on:
Size: 30awg / 0.05mm². 20awg / 0.5mm². 26awg / 0.12mm². 28awg / 0.08mm². Insulation Sheath: PTFE. The Wire Core Is Made of High-purity Oxygen Free Copper Silver Plated Material, with a Thick Silver Plating Layer, High Purity, Low Internal Resistance, and Low Loss.
www.ebay.com
It looks like they also have 30 AWG too.
There is a spool of black 28AWG Kynar wire in the USA:
28 AWG Kynar Wire Wrap UL1422 Style ~ 100 foot spools ~ NEW! 28 AWG Kynar Wire. Uses: Wire wrapping, Circuit Board Repair and "fixes", Jumper Wire, Wiremods, Chipmods! 10 Colors available: Black (00), Brown (01), Red (02), Orange (03), Yellow (04), Green (05), Blue (06), Violet (07), Gray (08)...
www.ebay.com
And some in orange:
28 AWG Kynar Wire Wrap UL1422 Style ~ 100 foot spools ~ NEW! 28 AWG Kynar Wire. Uses: Wire wrapping, Circuit Board Repair and "fixes", Jumper Wire, Wiremods, Chipmods! 10 Colors available: Black (00), Brown (01), Red (02), Orange (03), Yellow (04), Green (05), Blue (06), Violet (07), Gray (08)...
www.ebay.com
And there is some Red at Skycraft Parts. I love that store. I went there while I was in the US in Orlando, its a great store to visit, it has a mock up rocket and a UFO on the roof.
Cut And Re-Spooled From a Longer Length. As Pictured. Skycraft Parts & SurplusOrlando, FL Specializing in surplus electroniccomponents and parts for over 40 years! Kynar Wire Wrap Wire, Red 28 Gauge, 100 Foot.
www.ebay.com