Are the Switches not direct connect to the root-bridge need select root port in the STP circuit?

In the STP circuit like bellow, will the Router2 select a root port? or just the Router1 and Router3 select root port?

enter image description here

in a tutorial it says "all the non-root bridge node will select a root-port, its principle is 'towards'(near) the root-bridge".

my understand is the Router2 is also the non-root bridge node. if it will choose a root port, its G0/0 and G0/1 all are 'towards' to the root bridge. then how to choose ?


EDIT-01

Ignore the icon, this is Switch constitutionally.

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