In the following sentence, is "tired" a verb or adjective?

He was tired of trying to prove himself to the world.

In the following sentence, is "noon" a noun or adverb?

The Morgan Library of Rare Manuscripts is open daily at noon.

In the following sentence, is "constructed" a verb and is "closed" and "today" adverbs?

The newly constructed pedestrian bridge at the bend is closed today.

He was tired (predicative adjective) of trying to prove himself to the world.

The Morgan Library of Rare Manuscripts is open daily at noon (noun).

The newly constructed (participle (from a verb)) pedestrian bridge at the bend is closed (predicative adjective) today (temporal adverb).

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