Does た+ "ところで" always mean "No matter what", "Even if?"


よし 後ろ盾を得たところで さっさく調べちまおう

"後ろ盾を得た" is a way of saying that means "To obtain one support". The character
proposed an hypothesis about the situation and his partner agreed, which
prompted this.

My reading of the sentence is akin to "Well then, now that I have obtained
your support/agreement, let's investigate"

However, why ところで here used? I don't think the "even if" meaning makes sense?




[This (た)ところで](https://jlptsensei.com/learn-japanese-
grammar/%E3%81%9F%E3%81%A8%E3%81%93%E3%82%8D%E3%81%A7-ta-tokoro-de-meaning/)
has nothing to do with your sentence. ところ refers to a situation and で is a
location marker, so the literal tranlation is "in a situation (where ～)", but
"now that" is perfectly fine in this context.

たところで can also refer to a physical location, for example 門を出たところで待っています "I'm
waiting outside the gate".

