Heat olive oil in a large pot over medium heat.
Sauté onion, garlic, and mushrooms until soft and fragrant.
Add thyme, salt, and pepper, stirring to combine.
Pour in vegetable broth and bring to a boil.
Reduce heat, simmer for 25 minutes for full flavor.
Blend soup until silky smooth. Adjust seasoning as needed.
For pudding, whisk cornstarch with a bit of plant milk.
Heat remaining plant milk, coffee, and sweetener in a saucepan.
Gradually stir in cornstarch mix until pudding thickens.
Remove from heat and add vanilla extract.
Serve hot soup followed by a cheeky coffee pudding dessert.