Today, it depends on how you copy it.
Using the copy button:
puts only the text version into the clipboard, among others:
TIMESTAMP,TARGETS,SAVE_TARGETS,MULTIPLE,UTF8_STRING,STRING,TEXT,text/plain,text/plain;charset=utf-8,chromium/x-internal-source-rfh-token,chromium/x-source-url
but copying the actual text works:
since you’re copying the rendered HTML via the browser instead of having Discourse interact with the clipbard, text/HTML is available as a format to clipboard consumers:
<span class="hljs-meta" style="color: rgb(133, 133, 133); font-style: italic; font-family: "JetBrains Mono", Consolas, Monaco, monospace; font-size: 15.75px; font-variant-ligatures: none; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: pre; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">@@ -1,11 +1,11 @@</span><span style="color: rgb(199, 199, 199); font-family: "JetBrains Mono", Consolas, Monaco, monospace; font-size: 15.75px; font-style: normal; font-variant-ligatures: none; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: pre; background-color: rgba(0, 0, 0, 0.25); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;">\n</span><span class="hljs-deletion" style="background: none 0% 0% / auto repeat scroll padding-box border-box rgb(79, 24, 11); color: rgb(222, 113, 118); font-family: "JetBrains Mono", Consolas, Monaco, monospace; font-size: 15.75px; font-style: normal; font-variant-ligatures: none; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: pre; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">-Young volunteer award \xe2\x80\x93 celebrating young volunteers, aged 16-24, who go the extra mile in their local communities, demonstrating our values and the importance of connection and action.</span><span style="color: rgb(199, 199, 199); font-family: "JetBrains Mono", Consolas, Monaco, monospace; font-size: 15.75px; font-style: normal; font-variant-ligatures: none; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: pre; background-color: rgba(0, 0, 0, 0.25); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;">\n</span><span class="hljs-addition" style="background: none 0% 0% / auto repeat scroll padding-box border-box rgb(11, 66, 32); color: rgb(118, 196, 144); font-family: "JetBrains Mono", Consolas, Monaco, monospace; font-size: 15.75px; font-style: normal; font-variant-ligatures: none; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: pre; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">+The Young Volunteer Award celebrates young volunteers, aged 16\xe2\x80\x9324, who go the extra mile in their local communities, demonstrating our values and the importance of connection and action.</span><span style="color: rgb(199, 199, 199); font-family: "JetBrains Mono", Consolas, Monaco, monospace; font-size: 15.75px; font-style: normal; font-variant-ligatures: none; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: pre; background-color: rgba(0, 0, 0, 0.25); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;">\n</span><br class="Apple-interchange-newline">
To support this via the copy button, we’d need to add the ability to take the rendered colorised version (since it’s colorised via a library) and send it to the clipboard with the text/html format. It’s likely possible (maybe even as a theme component) but meanwhile there’s always the option to copy via selecting.