I've tried to solve this. The below is creating your cmd+\ trigger and another one for cmd+. and I think it is achieving what you want.
[
{
"BTTLastUpdatedAt" : 1776673041.585325,
"BTTTriggerType" : 0,
"BTTTriggerClass" : "BTTTriggerTypeKeyboardShortcut",
"BTTUUID" : "BA1198FC-73BF-4894-A51F-0D6D9B03D066",
"BTTAdditionalConfiguration" : "1048584",
"BTTShortcutScope" : 0,
"BTTShortcutKeyboardType" : 2302,
"BTTTriggerOnDown" : 1,
"BTTLayoutIndependentChar" : "/",
"BTTShortcutKeyCode" : 44,
"BTTShortcutAdvancedModifierKeys" : "1048584",
"BTTShortcutModifierKeys" : 1048576,
"BTTOrder" : 75,
"BTTAutoAdaptToKeyboardLayout" : 0,
"BTTActionsToExecute" : [
{
"BTTLastUpdatedAt" : 1776667694.44311,
"BTTTriggerParentUUID" : "BA1198FC-73BF-4894-A51F-0D6D9B03D066",
"BTTIsPureAction" : true,
"BTTUUID" : "CD12CE3A-33E9-49DF-B1FC-F7990FC42D87",
"BTTPredefinedActionType" : 46,
"BTTPredefinedActionName" : "Application Switcher",
"BTTOrder" : 405
}
]
},
{
"BTTLastUpdatedAt" : 1776674494.791971,
"BTTTriggerType" : 0,
"BTTTriggerClass" : "BTTTriggerTypeKeyboardShortcut",
"BTTUUID" : "2D4184A2-F665-4C6D-9B79-746284FD818A",
"BTTAdditionalConfiguration" : "1048584",
"BTTShortcutScope" : 0,
"BTTShortcutKeyboardType" : 2302,
"BTTTriggerOnDown" : 1,
"BTTLayoutIndependentChar" : ".",
"BTTShortcutKeyCode" : 47,
"BTTShortcutAdvancedModifierKeys" : "1048584",
"BTTShortcutModifierKeys" : 1048576,
"BTTOrder" : 76,
"BTTAutoAdaptToKeyboardLayout" : 0,
"BTTActionsToExecute" : [
{
"BTTLastUpdatedAt" : 1776674349.451442,
"BTTTriggerParentUUID" : "2D4184A2-F665-4C6D-9B79-746284FD818A",
"BTTIsPureAction" : true,
"BTTUUID" : "3A68C0DF-7654-43DC-8D13-FC89A948BCCE",
"BTTPredefinedActionType" : 195,
"BTTPredefinedActionName" : "Run Apple Script (async in background)",
"BTTAdditionalActionData" : {
"BTTScriptType" : 0,
"BTTAppleScriptUsePath" : false,
"BTTScriptLocation" : 0,
"BTTAppleScriptRunInBackground" : true,
"BTTAppleScriptString" : "tell application \"System Events\"\n key code 48 using {shift down, command down}\nend tell"
},
"BTTInlineAppleScript" : "tell application \"System Events\"\n key code 48 using {shift down, command down}\nend tell",
"BTTOrder" : 3
}
],
"BTTTriggerLauncherConfig" : {
"BTTLauncherShowInLauncher" : 0
}
}
]