Quote Layout: How to improve it?

Hi there,

1. Try this CSS:

blockquote p {
    margin-bottom: 0.5em;
}

2. I would say that the easiest way is to use the Headline block from GenerateBlocks with an icon so you can create whatever style you like for quotes:
https://docs.generateblocks.com/article/headline-overview/
https://docs.generateblocks.com/article/headline-overview/#icon

If not then you would basically need to create your own solution with custom HTML and CSS.

This page has some useful info:
https://www.wpbeginner.com/wp-themes/how-to-customize-blockquotes-style-in-wordpress-themes/