Tor entry guards are persistent and when using a bridge this substitutes the current Tor entry guard.
When I decide to use a bridge through the selection of using one of Tor Browser’s built-in bridges,
how is the specific bridge chosen?
where can I see which one is chosen?
will the chosen bridge also remain persistent for the next connection (like the Tor entry guard) or will a new bridge be chosen automatically for each new connection?
The same strategy as choosing any guard relay, whose details are unknown to me. Tor man page,
EntryNodes node,node,...
A list of identity fingerprints and country codes of nodes to use
for the first hop in your normal circuits. Normal circuits include
all circuits except for direct connections to directory servers.
The Bridge option overrides this option; if you have configured
bridges and UseBridges is 1, the Bridges are used as your entry
nodes.
This option can appear multiple times: the values from multiple
lines are spliced together.
The ExcludeNodes option overrides this option: any node listed in
both EntryNodes and ExcludeNodes is treated as excluded. See
ExcludeNodes for more information on how to specify nodes.
will the chosen bridge also remain persistent for the next connection (like the Tor entry guard) or will a new bridge be chosen automatically for each new connection?
In the case you were using a bridge, the bridge acts as (replaces) your guard relay; therefore, it’s also persistent by default. Man page,
UseEntryGuards 0|1
If this option is set to 1, we pick a few long-term entry servers,
and try to stick with them. This is desirable because constantly
changing servers increases the odds that an adversary who owns some
servers will observe a fraction of your paths. Entry Guards can not
be used by Directory Authorities or Single Onion Services. In these
cases, this option is ignored. (Default: 1)
where can I see which one is chosen?
Yes, at the Tor Circuit panel, to the left of the address bar.