Supply imbalance

[Swearwolfie]

Hi all, hope everyone's coffee is strong this morning!
I'm hoping for some advice on balancing supply between breasts. Baby is 5 weeks and has shown a preference for the left boob. I've been trying to encourage her by offering the right first at feeds before switching to left, with little success.
She slept for 4 hours last night and this morning my left boob is huge and engorged, while my right has barely registered the gap in feeds.
Her nappies have also switched from being lovely and mustardy to green so I'm guessing she is getting too much fore milk?
Anyone advice would be greatly appreciated!

When I had this problem I followed the advice from kellymom.com/bf/got-milk/lopsided/

Especially the nursing in the less preferred side twice as often. This meant I had to express the oversupplied side to release some pressure and avoid blocked ducts but it only took a few days to even them out.

Not sure if this helps, but my baby went through a phase of feeding on the left side in a normal cradle hold and on the right in a rugby hold. She did this at a later age but maybe a different feeding position might help you?