Help with intarsia!

So I’ve done intarsia a few times before, and I got pretty good at it the last time I did it. Right now I’m working on a blanket made of squares, but I encountered a problem working on one! This is what I’m making, except that I’m making the egg gold, and the rest is purple. I just started on the egg, but I can’t figure out how to catch my yarn when the color changes because it alternates between knit and purl stitches.

Any help is much appreciated!

So you’re twisting the 2 yarns to change colors at the divide between the knit stitch background and the border of purl sts at the edge of the egg?
Knit with the purple, leave the yarn at the back, bring the gold strand over the purple and to the front to purl the border and work across the egg. Purl the left border, bring the gold yarn to the back, lift the purple strand over the gold and knit the background.