koがすgasu
1.

To cause a part of something to become blackened through the application of heat, often resulting in a burnt or charred condition.

2.

To inflict emotional pain or distress, particularly in the context of longing or heartache associated with love.

3.

To burn incense or aromatic substances to produce fragrance, enhancing the atmosphere or experience surrounding it.

Example:

その亡命者は故国への思いに胸を焦がした。