Mash garlic with a mortar and pestle until a thick puree forms.

Add salt and pound into a paste.

Add fresh basil leaves and continue to mash.

Incorporate breadcrumbs and hot stock, mashing until fully combined.

Transfer the mixture to a heavy bowl.

Add beaten egg yolks and incorporate by mashing and stirring.

Add the roasted red pepper, continue mashing and stirring.

Beat the mixture until sticky.

Gradually drizzle in olive oil while continuously beating (use a food processor or stand mixer for ease).

Continue adding oil until a thick, heavy sauce forms, similar to mayonnaise or aioli.

Season to taste with Tabasco sauce, salt, and pepper.