1. Pull away as normal. Don't slow down or stop.
2. Let coffee lady pass you.
3. Signal your intention to move right, into the gap between coffee lady and the next vehicle behind.
4. Move to the right, if the driver of the next vehicle gives you room.
5. If the following driver doesn't give you room, repeat steps 2-4 with this driver.
6. Eventually, somebody will let you in or the line of traffic will get past, and you can then move to the right.

It's generally not the end of the world if a vehicle gets between you and the curb. Try not to panic.