In more detail
Thematic analysis is a broad term. Braun and Clarke describe several kinds that share the word but differ in how they treat codes and themes: coding reliability approaches, codebook approaches and their own reflexive approach.
What the kinds have in common is that the researcher works systematically through a dataset, codes it, and develops themes that address a research question. They differ in whether codes are set in advance, whether several coders need to agree, and how themes are understood.
When writing a method section, naming the kind of thematic analysis used, and citing it, helps readers judge the work on its own terms.
In Themescape
Themescape works with coding from any kind of thematic analysis, as long as it sits in the template: one row per coded quote with its theme, and usually a code. The site's guidance and examples follow reflexive thematic analysis.