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Unequal timestamps for several lines in a time chart with Chart.js

I have a couple of lines I want to draw in a chart with Chart.js. The data looks something like this:

Line 1:

  • x: 12.03.2021, 30.03.2021, 04.04.2021
  • y: 10, 20, 30

Line 2:

  • x: 03.02.2021, 10.05.2021, 05.06.2021, 07.06.2021
  • y: 40, 50, 30, 5

... many more lines

The problem is: The lines have different timestamps and also different amount of ticks (line 1 has 3 ticks/timestamps, line 2 has 4).

How can I consolidate this into a time line chart automatically? I already tried this option, but it doesn't seem to work:

options: {
                scales: {
                    x: {
                        type: 'time',
                        time: {
                            // Luxon format string
                            tooltipFormat: 'DD T'
                        },
                        title: {
                            display: true,
                            text: 'Date'
                        }
                    },
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