You have a factual labor relationship with the company, and the company should handle relevant insurance for employees according to law.
The probation period agreed orally in this case is invalid.
If both parties fail to reach an agreement on the term of the labor contract, the company will terminate the labor relationship and pay only one month's salary compensation; If the term of the original contract is agreed, the company shall unilaterally terminate the labor contract in advance, and in addition to compensation, the company shall also pay one month's salary in lieu of notice.