In most of the blocks you can delete a button in the block in the following way.

Hover over the button in the block and click on the three dots:

Hit Delete:

In some of the blocks (e.g. in headers) the button may be built in the block. To remove it from there, click to go to the block settings:

Un-select the button option:

Check out the article below for the customization options available in a button:

Changing the design of a button
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