Hello,
The addresses are from JOSM application, using the MapWithAI plugin, the "United States Addresses" data source. From the wiki that appears to be public domain.

I used the "automatically obtain source from current layers" option when uploading so apologies if that didn't cite correctly.

According to JOSM MapWithAI US Addresses data source, This should be "Martingale Drive", not divided into "East" and "West". I've updated the road names and house addresses around it
Double checked source with Douglas County Assessor's website: https://apps.douglas.co.us/assessor/web/#/ and specifically this pdf: https://apps.douglas.co.us/realware/SectionMaps/TWP2233/DC_2233_20.pdf
That's also how Apple Maps, Mapquest, and Google Maps have it. Can also confirm with street signs.

More specifically i'm unsure if or how to combine the two road segments with that roundabout splitting them.

Also there are some "tiger" tags on the streets and not sure if i should remove or fix those.

Note: JOSM using MapwithAI using "United States Addresses" caught a mismatch of street names. Old/bad "Sand Pebble" vs new/correct "Sandpebble" and old/bad "Rockrose" vs new/correct "Rock Rose". I corrected the street name and uploaded the house address tags to fix this.
You can confirm Sandpebble/Rock Rose is correct with the Douglas County Assessor office property search: https://apps.douglas.co.us/assessor/web/#/
here's a pdf of that area:
https://apps.douglas.co.us/realware/SectionMaps/TWP2233/DC_2233_17.pdf
Mapquest and Apple Maps have the right name. Google has "Sandpebble" correct but incorrect "Rockrose". Street View will show the street signs with correct name.

Also, not sure what to do with the incorrect "tiger" tags on those streets?

Also, not sure if anything should be done with the "tiger" tags on the streets, which are also wrong?

Note: JOSM using MapwithAI using "United States Addresses" flagged a mismatch of the correct "Siena" (one N) and "Lode Stone" (not Lodes Star or Lodestone) street name. I corrected the street name and uploaded the house address tags to fix this.
You can confirm Siena/Lode Stone is correct with the Douglas County Assessor property search: https://apps.douglas.co.us/assessor/web/#/
here's a pdf of that area:
https://apps.douglas.co.us/realware/SectionMaps/TWP2233/DC_2233_17.pdf
Mapquest and Apple Maps have the right name. Google has "Siena" correct but incorrect "Lodestone". Street View will show the street signs with correct name.

The gas pumps are branded Conoco, but clearly part of the 7-Eleven. which is more correct?