@Seth McPherson
Bee line is a terrible rope bridge. The material its core is made of is very different than that of a a traditional double braid arborist rope. It's HMPE (....maybe just butchered the acronym...) material which is much more slippery. So the core of the rope in your knot has a (very extremely small) chance of slipping out of the knot, making g the knot small enough (now being just cover) to slip thru hardware. This is why one sees stitches on the Treemotion rope bridge. Same material, just a different construction for the finished rope bridge product. Globe 3000 for a bridge has a tighter cover than beeline.
Double braid ropes like Samson velocity or Yale 11.7mm ropes, or tachyon, work just fine. As mentioned, manufacturer preference is best in the event you're questioning it, but the Buckingham ergovation was sold with a double braid bridge. Close to 3" tails on the knots that hold it on place (if they're jammed against rigging plates) is recommended.
Things like Tritech (these technora rope covers) eat thru hardware sliding back and forth on it, so also not a great rope bridge choice.
New tribe used Teufelburger Platinum because the core and cover are joined. Kinda neat. Never really cared for it over anything myself.