[TD] Update diagnostics test data due to new test runners

Update includes:
- Changing syntax of `OI/`NI` tags from `<!NI;TAG!>` to `<!TAG{NI}!>`
- Fix some incorrect directives
- Change order of diagnostics in some places
- Remove ignored diagnostics from FIR test data (previously `DIAGNOSTICS` didn't work)
- Update FIR dumps in some places and add `FIR_IDENTICAL` if needed
- Replace all JAVAC_SKIP with SKIP_JAVAC directive

compiler/testData/diagnostics/tests/inline/nonPublicMember/publishedApi.fir.kt

@@ -1,7 +1,7 @@
 // !DIAGNOSTICS: -EXPOSED_PARAMETER_TYPE -NOTHING_TO_INLINE
 
 
-inline fun call(<!EXPOSED_PARAMETER_TYPE!>a: A<!>) {
+inline fun call(a: A) {
     a.test()
 
     privateFun()
@@ -45,4 +45,4 @@ private fun privateFun() {
 
 internal fun internalFun() {
 
-}
+}

compiler/testData/diagnostics/tests/inline/nonPublicMember/publishedApi.kt

@@ -45,4 +45,4 @@ private fun privateFun() {
 
 internal fun internalFun() {
 
-}
+}