Conservative converts and Chabad?

I feel like I already know the answer to this, but it doesn’t hurt to ask, right?

If one converted Conservative, and they had all of the halakhic procedures (Beit Din with 3 observant individuals, immersion in a mikvah, and circumcision), what is the likelihood of said convert being given honors and full participation at a Chabad house? Or at the very least being able to partake in community stuff?

I know Chabad is Orthodox, and I also know that Orthodoxy generally doesn’t accept non-O conversions, if at all. However, could there be acceptance in a case by case basis?

This all operates on the notion of there not being much of a Jewish presence in any given area, with the exception of a Chabad house or two, and non-O not having much of an option.

Shabbat Shalom.