AutoTimeStamp based on multiple cells - google-apps-script

Question

I have a document that when any cell from column B through G has data entered into it (starting from row 4) I want Row A to have a TimeStamp of when that data was started and to not change. But if the row is cleared I want the timestamp to be deleted and be able to be reentered with new data. And I'm using this across multiple sheets. I did the IFS function and it worked, but people were overwriting and deleting it so I am trying to script it. I've tried modifying a few scripts I've found online and using some of the stuff I remember from college days, but it hasn't been great and I could use some help. Thanks!
function onEdit(e) {
var ss = SpreadsheetApp.getActiveSheet();
var range = ss.getRangeList(['B4:B', 'C4:C','D4:D','E4:E', 'F4:F', 'G4:G']);
if ( e.range) return;
e.targetColumn = 1
.setValue (new Date("HH:mm"));
}
function onEdit(e) {
if ( e.range.columnStart !== 2 && e.range.columnStart !== 3
&& e.range.columnStart !== 4 && e.range.columnStart !== 5
&& e.range.columnStart !== 6 && e.range.columnStart !== 7) return;
e.range.targetColumn = 1
.setValue(new Date());
}

Answer 1

(Updated) Try this:
function onEdit(e) {
e.source.toast('Entry');
const sh = e.range.getSheet();
if (sh.getName() == "Your sheet name" && e.range.columnStart > 1 && e.range.columnStart < 8 && e.range.rowStart > 3) {
e.source.toast('Flag1');
if(sh.getRange(e.range.rowStart,2,1,sh.getLastColumn() -1).isBlank() ) {
sh.getRange(e.range.rowStart(),1).clearContent();
} else {
if(sh.getRange(e.range.rowStart,1).isBlank()) {
sh.getRange(e.range.rowStart,1).setValue(new Date());
}
}
}
}