Not rendering here unfortunately.
I did notice this what you posted above...
#plotly-chart {
/* HAVE to set at least width and height for Plotly to render */
/* width: 100%;
height: 50vh; */
margin-top: 1em;
}
...which seems contradictory, but uncommenting them made little difference.
However, the console showed;

I have attached a uib-save node & index.html, index.css etc
[{"id":"5a5653fbb5559e32","type":"group","z":"1326aadbacf36704","name":"Run this to update the front-end code files (after setting the uibuilder url name)","style":{"fill":"#ffffff","fill-opacity":"0.31","label":true,"color":"#000000"},"nodes":["55abd225ad81d743","490d3439c60c1b7a","c1d742d7201e9392","73dc5646a81ea558","46757650f470b5bd","85c41b050ea3a3de","e26eb52f5db65966","d7be075fdea36b47"],"x":1124,"y":1859,"w":662,"h":162},{"id":"55abd225ad81d743","type":"inject","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"","props":[],"repeat":"","crontab":"","once":false,"onceDelay":0.1,"topic":"","x":1185,"y":1940,"wires":[["73dc5646a81ea558","46757650f470b5bd","e26eb52f5db65966"]],"l":false},{"id":"490d3439c60c1b7a","type":"template","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"","field":"payload","fieldType":"msg","format":"html","syntax":"mustache","template":"<!doctype html>\n<html lang=\"en\"><head>\n <meta charset=\"utf-8\">\n <meta name=\"viewport\" content=\"width=device-width, initial-scale=1\">\n\n <title>Quote of the day - Node-RED UIBUILDER</title>\n <meta name=\"description\" content=\"Node-RED UIBUILDER - Quote of the day\">\n <link rel=\"icon\" href=\"./images/node-blue.ico\">\n\n <!-- Your own CSS -->\n <link type=\"text/css\" rel=\"stylesheet\" href=\"./index.css\" media=\"all\">\n\n <!-- #region Supporting Scripts. These MUST be in the right order. Note no leading / - socket.io no longer needed -->\n <script defer src=\"../uibuilder/uibuilder.iife.min.js\"></script>\n <script defer src=\"./index.js\"></script>\n <script defer src=\"https://cdn.plot.ly/plotly-3.0.1.min.js\" charset=\"utf-8\"></script>\n <!-- #endregion -->\n</head><body>\n <h1>UIBUILDER Plotly test</h1>\n <div role=\"doc-subtitle\">Using the UIBUILDER IIFE library.</div>\n <!-- Updated for uibuilder v6.1.0 -->\n\n <div id=\"plotly-chart\"></div>\n\n <div id=\"more\"><!-- '#more' is used as a parent for dynamic HTML content in examples --></div>\n\n\n</body></html>","output":"str","x":1460,"y":1900,"wires":[["c1d742d7201e9392"]]},{"id":"c1d742d7201e9392","type":"uib-save","z":"1326aadbacf36704","g":"5a5653fbb5559e32","url":"","folder":"src","fname":"","createFolder":false,"reload":false,"usePageName":false,"encoding":"utf8","mode":438,"name":"","topic":"","x":1660,"y":1940,"wires":[]},{"id":"73dc5646a81ea558","type":"change","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"index.html","rules":[{"t":"set","p":"fname","pt":"msg","to":"index.html","tot":"str"}],"action":"","property":"","from":"","to":"","reg":false,"x":1310,"y":1900,"wires":[["490d3439c60c1b7a"]]},{"id":"46757650f470b5bd","type":"change","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"index.js","rules":[{"t":"set","p":"fname","pt":"msg","to":"index.js","tot":"str"}],"action":"","property":"","from":"","to":"","reg":false,"x":1300,"y":1940,"wires":[["85c41b050ea3a3de"]]},{"id":"85c41b050ea3a3de","type":"template","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"","field":"payload","fieldType":"msg","format":"javascript","syntax":"mustache","template":"const plotlyChart = document.getElementById('plotly-chart')\nif (plotlyChart) {\n const plotlyData = [{\n x: [1, 2, 3, 4, 5],\n y: [1, 2, 4, 8, 16]\n }]\n const plotlyLayout = {\n title: {\n text: 'Responsive to window\\'s size!'\n },\n font: { size: 18 }\n }\n const plotlyConfig = {\n responsive: true, // Make the chart responsive\n margin: { t: 0 },\n }\n // @ts-ignore\n Plotly.newPlot(plotlyChart, plotlyData, plotlyLayout, plotlyConfig)\n}","output":"str","x":1460,"y":1940,"wires":[["c1d742d7201e9392"]]},{"id":"e26eb52f5db65966","type":"change","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"index.css","rules":[{"t":"set","p":"fname","pt":"msg","to":"index.css","tot":"str"}],"action":"","property":"","from":"","to":"","reg":false,"x":1300,"y":1980,"wires":[["d7be075fdea36b47"]]},{"id":"d7be075fdea36b47","type":"template","z":"1326aadbacf36704","g":"5a5653fbb5559e32","name":"","field":"payload","fieldType":"msg","format":"css","syntax":"mustache","template":"/* Load defaults from `<userDir>/node_modules/node-red-contrib-uibuilder/front-end/uib-brand.min.css`\n * This is optional but reasonably complete and allows for light/dark mode switching.\n */\n@import url(\"../uibuilder/uib-brand.min.css\");\n\n#plotly-chart {\n /* HAVE to set at least width and height for Plotly to render */\n width: 100%;\n height: 50vh;\n margin-top: 1em;\n}\n\n/* Overrides for UIUILDER's default styles */\n.js-plotly-plot .plotly .main-svg {\n margin: 0;\n background-color: unset;\n}\n\n.js-plotly-plot .plotly .modebar-btn svg {\n background-color: unset;\n margin: unset;\n}","output":"str","x":1460,"y":1980,"wires":[["c1d742d7201e9392"]]}]