3 wireless network segments bridged

I have a network that uses 3 segments. segment 1 has ssid linksys1.
segment 2 has ssid linksys2, and segment 3 has linksys3...

linksys1 is a wap/router connected to the internet.
linksys2 & 3 are waps with a bridges directley wired to them.

linksys 2 and 3 are too far appart to see each other. I have set their
bridges to look to linksys1 for access to the rest of the network. my
theory is that linksys1 will route the packets between the two
segments, however, linksys 2 can not see linksys3.

linksys1 can see both 2 and 3, and reverse.

everyone can see the internet provided by linksys1.

what am i doing wrong? do the ssid's need to be the same?

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