Good transition colour to tie together kitchen and living room

[PaperSky]

Dining room is in between kitchen and living room. At the moment it and the kitchen have white walls, but I wanted something to tie it together to the living room, which is a dark forest green. I’ve attached some pics of the colour schemes in each room.

What would work in between to bring it all together?

First off I was thinking a light greyish green, but feeling a bit meh about that.
Don’t want to go grey or a neutral, definitely want it to be a proper colour if that makes sense.

Dining room has a solid oak table.

What do you think could bring these together?

See the colour of the cushion on the chair in the green room? That.

I agree. The cushion/skirting board colour.

A blush/pink colour would work well with those two colours.
Can't suggest any because I'm still looking for the right shade!

A copper tone or mauve.

The cushion colour is too dark and cool toned.

Another option is wallpaper?

I do like that blue, but also think it might be too ‘cool’ (even though the kitchen is very cool!)

I quite like this pink actually but I don’t think DH would go for it.

The other idea was maybe use the oak that we have throughout both rooms, and do some sort of feature wall, like this? (With the same slate grey colour as the kitchen behind it)

Saying that, I’m liking the blue the more I look at it actually.
There’s this one which could work?

I like the oak, that with some soft pinkie cashmere colour ( maybe with a light sheen ) would look warm, neutral and sophisticated.