Can I agree, Lily?

It can be said that lily is a third person singular, so the auxiliary verb here is does.

When Do is used as a transitive verb, it basically means "doing" and "engaging in". Different nouns can mean various actions, such as writing, drawing, creating (working), performing, sorting (cleaning, washing, brushing, combing), learning, researching (translating, solving, calculating) and cooking (burning).

When do is used as a transitive verb, it can take nouns, pronouns, gerunds and clauses as objects, and it can also take cognate objects. You can also follow the double object (its indirect object can be transformed into the object of the preposition to).

Do is followed by a gerund, which means "doing an activity that takes some time or repetition".

Related phrases:

Dwight did the right thing.

Dowell, well done.

Duorenli did something wrong.

Degrade and speak ill of sb.

Go in and take it off.

Clean up.

Redo.

Get dressed.