"As pets being welcome, she stayed at the hotel with her dog." [closed]

In the sentence about which you are asking, the word being is a present participle, and is used in a manner that is awkward. The subordinating conjunction as normally would introduce a dependent clause. That dependent clause would need to have a verb. Since being is not acting as a verb, that group of words does not form a proper clause, and so it sounds awkward.

Omitting as, as you do in the first sentence, works well, and might even be the best choice. I would classify Pets being welcome as an absolute phrase that modifies the independent clause.

The second sentence is proper. It is proper because were acts as a verb. A proper dependent clause thus is formed, and so As properly acts a subordinating conjunction introducing that clause. Also, I note that the verb tenses match: were and stayed.

Here is a recommendation based on common style (such as AP) and standard usage:

Because pets were welcomed, she stayed at the hotel with her dog.

Here are reasons for this recommendation:

"Because" is a less stylized, more understandable word for describing a cause than "as".

"Were welcomed" is a more simple form than "Being welcome", especially for a circumstance that was completely in the past.