Can you be more specific?What exactly should I do?In order to gain more than 11 respect points in Akra?
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Well be bossy when interacting with Akra's people, be bossy around Katari, Rylan, The Barkeeper (Egon), Be bossy around Galiano(Bar Owner) and his gang (rejecting to be his bitch) and just do missions. There are also factors to consider when you want Galiano to respect you, just accept the missions without being like a bitch (submissive), The missions are bare laid to accept when interacting him. But the more you do main missions the more interactions you would unlock. Its not specific, it is systemic and chronological, you need to do main missions to unlock paths and choices to do that. If you're too low level grind up and check the requirement level for that mission and also stock up some pills for your character.
(Respect will go up automatically as you progress but be dominant in all of your choices if you want to keep it up.)
Just follow the missions in the tab, that'll unlock the interactions. There are arcs in the game that needed to be broken through in order to get specific interactions, always save the page that you think that is an important checkpoint and buff up your mc, and the crew. Lastly, the interaction you will do should be more like a top/dominant attitude when choosing an answer to those interactive conversation to spike the respect bar.