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Need advice. What tier alliance should I be looking to join. Prestige: 10,259 , Total base: 533,550

So I've been in alliances before just never a competitive one so I'm not really sure what level alliance I should even be looking to join with my current progression/roster/skills. I'll post pics of my roster and like I said above my prestige is 10,259 and total base hero rating is 533,550.
And lastly I figure I should put it out there with the amount of questing I'm trying to get done it's just a guesstimate but I figure I should be able to devote R4's and an occasional R5 to AQ. Probably two R5'S and an R4 to AW attack and the mix of like two R4's an R5 and two R3s to AW def but nothing is set in stone and if need be I can step it up but that's why I'm here asking what level alliance I should like to join with that being what I'm looking to commit so I can still get my questing done.
And lastly I figure I should put it out there with the amount of questing I'm trying to get done it's just a guesstimate but I figure I should be able to devote R4's and an occasional R5 to AQ. Probably two R5'S and an R4 to AW attack and the mix of like two R4's an R5 and two R3s to AW def but nothing is set in stone and if need be I can step it up but that's why I'm here asking what level alliance I should like to join with that being what I'm looking to commit so I can still get my questing done.
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My next rank ups would be corvus, ogv, and elsa.
Also I know literally nothing about doing war onna truly competitive level I'm not even sure what's more important aq vs aw as far as the rewards go based on the effort so I definitely appreciate your reply & opinion
Also same thing I said to the other person above. Thank you for your reply&opinion , I appreciate all the information I can get so I can form the best opinion of what route I should take, and I will definitely keep your invitation in mind as well.
Also a bit of clarification on what you said "G1 aw and Map6+5x4 aq max. Tier 4-5 aw can be tough with that roster."
Does that mean your reccomending I join an alliance that does solely aq?
If you want gold 1 you’re gonna be wanting a minimum of 4/55 5*s or 1/25 6*s on defence and then the best team you can put together to handle your assigned path with little to no deaths. AQ, you could handle map 5 easy enough with some 4/55s, but it depends how available you are.
Not sure if this shows skill level but I have up to 6.1 done 100% and 6.2 completed. Variant 1 initial run variant 234 100% invariant 5 initial. Lol initial as well.