Filters (rules) & Organization of incoming emails

Filters (rules) & Organization of incoming emails

Question... Am trying to create rules for my TeamInbox, and am flummoxed that according to you, adding tags to incoming emails allows organization of incoming emails... Yet I cannot create a main list of tags, nor can I chose multiple teams to apply any created tag! 

Am I required to (re)create (retype as there's no way to copy or export/import) ALL the tags from one team into each and every team I have (I have 5 different teams with 5 different emails)?

This process seems incredibly time-consuming...especially as there are no way to 'filter' ALL incoming emails into specific teams (i.e., mail arrives that should be shunted into the appropriate team). I'm not even able to do that since unless each team's specific email is used (i.e., someone sends an email to that should be sent to the team marketing whose email is can only assign it to an employee and not the team? (btw...none of your rule choices allow me to forward to anyone either inside or outside of my organization)

Am I missing something here with the whole organization thing in TeamInbox? Because this is NOT making any sense to me...
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