Displaying the Request Quote feature as a drawer provides a sleek and modern way for customers to view and manage their quote basket without leaving the current page. This layout slides in from the side, offering a smooth and uninterrupted shopping experience. The Quotes Guru app allows you to easily enable and customize this drawer view from the settings panel. In this guide, you’ll learn how to activate the drawer layout and explore the customization options available for a seamless front-end display.
Step 1 : GO to dashboard
Step 2 : Click on general settings
Step 3 : Click on Quote Basket Layout
You can three available options from which you will choose the option as a Drawer :

You can check the various customisation available as shown below:

Now we will see how it will be displayed on the Front end :

There are other changes as well that the admin can do for the display button section whether it be as a drawer, pop up or as a separate page. In the General settings> quote page layout settings you can see options like :
1. Other information #
Other Information option where you can show or hide other information in modal/page or drawer. If you want to hide the continue shopping button you will need to tick the box and save the changes.
Please check the screenshot below :

And can also see option to Display only Quote Form, No Product information (available in Basic plan)

Please check the related articles :
How to show Request Quote as a pop up?
How to show Request Quote as a page?